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Gaussian, stable, tempered stable and mixed limit laws for random walks in cooling random environments (2023)
Journal Article
Avena, L., Da Costa, C., & Peterson, J. (in press). Gaussian, stable, tempered stable and mixed limit laws for random walks in cooling random environments. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques,

Random Walks in Cooling Random Environments (RWCRE) is a model of random walks in dynamic random environments where the entire environment is resampled along a fixed sequence of times, called the "cooling sequence", and is kept fixed in between those... Read More about Gaussian, stable, tempered stable and mixed limit laws for random walks in cooling random environments.

Laws of Large Numbers for Weighted Sums of Independent Random Variables: A Game of Mass (2023)
Journal Article
Avena, L., & da Costa, C. (2024). Laws of Large Numbers for Weighted Sums of Independent Random Variables: A Game of Mass. Journal of Theoretical Probability, 37(1), 81-120. https://doi.org/10.1007/s10959-023-01296-z

We consider weighted sums of independent random variables regulated by an increment sequence and provide operative conditions that ensure a strong law of large numbers for such sums in both the centred and non-centred case. The existing criteria for... Read More about Laws of Large Numbers for Weighted Sums of Independent Random Variables: A Game of Mass.

Data quality and patient characteristics in European ANCA-associated vasculitis registries: data retrieval by federated querying (2023)
Journal Article
Gisslander, K., Rutherford, M., Aslett, L., Basu, N., Dradin, F., Hederman, L., Hruskova, Z., Kardaoui, H., Lamprecht, P., Lichołai, S., Musial, J., O’Sullivan, D., Puechal, X., Scott, J., Segelmark, M., Straka, R., Terrier, B., Tesar, V., Tesi, M., Vaglio, A., …Mohammad, A. J. (2023). Data quality and patient characteristics in European ANCA-associated vasculitis registries: data retrieval by federated querying. Annals of the Rheumatic Diseases, 83(1), 112-120. https://doi.org/10.1136/ard-2023-224571

Objectives: This study aims to describe the data structure and harmonisation process, explore data quality and define characteristics, treatment, and outcomes of patients across six federated antineutrophil cytoplasmic antibody-associated vasculitis... Read More about Data quality and patient characteristics in European ANCA-associated vasculitis registries: data retrieval by federated querying.

From tree- to loop-simplicity in affine Toda theories II: higher-order poles and cut decompositions (2023)
Journal Article
Dorey, P., & Polvara, D. (2023). From tree- to loop-simplicity in affine Toda theories II: higher-order poles and cut decompositions. Journal of High Energy Physics, 2023(10), Article 177. https://doi.org/10.1007/jhep10%282023%29177

Recently we showed how, in two-dimensional scalar theories, one-loop threshold diagrams can be cut into the product of one or more tree-level diagrams [1]. Using this method on the ADE series of Toda models, we computed the double- and single-pole co... Read More about From tree- to loop-simplicity in affine Toda theories II: higher-order poles and cut decompositions.

Patterning of nonlocal transport models in biology: The impact of spatial dimension (2023)
Journal Article
Jewell, T. J., Krause, A. L., Maini, P. K., & Gaffney, E. A. (2023). Patterning of nonlocal transport models in biology: The impact of spatial dimension. Mathematical Biosciences, 366, Article 109093. https://doi.org/10.1016/j.mbs.2023.109093

Throughout developmental biology and ecology, transport can be driven by nonlocal interactions. Examples include cells that migrate based on contact with pseudopodia extended from other cells, and animals that move based on their awareness of other a... Read More about Patterning of nonlocal transport models in biology: The impact of spatial dimension.

Efficient Algorithms for Approximating Quantum Partition Functions at Low Temperature (2023)
Journal Article
Helmuth, T., & Mann, R. L. (2023). Efficient Algorithms for Approximating Quantum Partition Functions at Low Temperature. Quantum, 7, 1155. https://doi.org/10.22331/q-2023-10-25-1155

We establish an efficient approximation algorithm for the partition functions of a class of quantum spin systems at low temperature, which can be viewed as stable quantum perturbations of classical spin systems. Our algorithm is based on combining th... Read More about Efficient Algorithms for Approximating Quantum Partition Functions at Low Temperature.

Three conjectures about character sums (2023)
Journal Article
Granville, A., & Mangerel, A. P. (2023). Three conjectures about character sums. Mathematische Zeitschrift, 305(3), Article 49. https://doi.org/10.1007/s00209-023-03374-8

We establish that three well-known and rather different looking conjectures about Dirichlet characters and their (weighted) sums, (concerning the Pólya–Vinogradov theorem for maximal character sums, the maximal admissible range in Burgess’ estimate f... Read More about Three conjectures about character sums.

Representatives of similarity classes of matrices over PIDs corresponding to ideal classes (2023)
Journal Article
Knight, L., & Stasinski, A. (2023). Representatives of similarity classes of matrices over PIDs corresponding to ideal classes. Glasgow Mathematical Journal, 66(1), 88-103. https://doi.org/10.1017/s0017089523000356

For a principal ideal domain A, the Latimer–MacDuffee correspondence sets up a bijection between the similarity classes of matrices in Mn(A) with irreducible characteristic polynomial f(x) and the ideal classes of the order A[x]/(f(x)). We prove that... Read More about Representatives of similarity classes of matrices over PIDs corresponding to ideal classes.

VisualPDE: Rapid Interactive Simulations of Partial Differential Equations (2023)
Journal Article
Walker, B. J., Townsend, A. K., Chudasama, A. K., & Krause, A. L. (2023). VisualPDE: Rapid Interactive Simulations of Partial Differential Equations. Bulletin of Mathematical Biology, 85(11), Article 113. https://doi.org/10.1007/s11538-023-01218-4

Computing has revolutionised the study of complex nonlinear systems, both by allowing us to solve previously intractable models and through the ability to visualise solutions in different ways. Using ubiquitous computing infrastructure, we provide a... Read More about VisualPDE: Rapid Interactive Simulations of Partial Differential Equations.

Accelerating Bayesian inference for stochastic epidemic models using incidence data (2023)
Journal Article
Golightly, A., Wadkin, L. E., Whitaker, S. A., Baggaley, A. W., Parker, N. G., & Kypraios, T. (2023). Accelerating Bayesian inference for stochastic epidemic models using incidence data. Statistics and Computing, 33(6), Article 134. https://doi.org/10.1007/s11222-023-10311-6

We consider the case of performing Bayesian inference for stochastic epidemic compartment models, using incomplete time course data consisting of incidence counts that are either the number of new infections or removals in time intervals of fixed len... Read More about Accelerating Bayesian inference for stochastic epidemic models using incidence data.

Computation of Winding-Based Magnetic Helicity and Magnetic Winding Density for SHARP Magnetograms in Spherical Coordinates (2023)
Journal Article
Xiao, D., Prior, C. B., & Yeates, A. R. (2023). Computation of Winding-Based Magnetic Helicity and Magnetic Winding Density for SHARP Magnetograms in Spherical Coordinates. Solar Physics, 298(10), Article 116. https://doi.org/10.1007/s11207-023-02211-9

Magnetic helicity has been used widely in the analysis and modelling of solar active regions. However, it is difficult to evaluate and interpret helicity in spherical geometry since coronal magnetic fields are rooted in the photosphere and helicity i... Read More about Computation of Winding-Based Magnetic Helicity and Magnetic Winding Density for SHARP Magnetograms in Spherical Coordinates.

2-index chiral gauge theories (2023)
Journal Article
Anber, M. M., & Chan, S. Y. L. (2023). 2-index chiral gauge theories. Journal of High Energy Physics, 2023(10), Article 25. https://doi.org/10.1007/jhep10%282023%29025

We undertake a systematic study of the 4-dimensional SU(N) 2-index chiral gauge theories and investigate their faithful global symmetries and dynamics. These are a finite set of theories with fermions in the 2-index symmetric and anti-symmetric repre... Read More about 2-index chiral gauge theories.

Energy-Constrained Random Walk with Boundary Replenishment (2023)
Journal Article
Wade, A. R., & Grinfeld, M. (2023). Energy-Constrained Random Walk with Boundary Replenishment. Journal of Statistical Physics, 190(10), Article 155. https://doi.org/10.1007/s10955-023-03165-9

We study an energy-constrained random walker on a length-N interval of the one-dimensional integer lattice, with boundary reflection. The walker consumes one unit of energy for every step taken in the interior, and energy is replenished up to a capac... Read More about Energy-Constrained Random Walk with Boundary Replenishment.

Rational Skyrmions (2023)
Journal Article
Harland, D., & Sutcliffe, P. (2023). Rational Skyrmions. Journal of Physics A: Mathematical and Theoretical, 56(42), Article 425401. https://doi.org/10.1088/1751-8121/acfbcc

A new method is introduced to construct approximations to Skyrmions that are explicit rational functions of the spatial Cartesian coordinates. The scheme uses ADHM data of a Yang–Mills instanton to produce a Skyrmion with a baryon number that is equa... Read More about Rational Skyrmions.

Exceptionally simple integrated correlators in N = 4 supersymmetric Yang-Mills theory (2023)
Journal Article
Dorigoni, D., & Vallarino, P. (2023). Exceptionally simple integrated correlators in N = 4 supersymmetric Yang-Mills theory. Journal of High Energy Physics, 2023(9), Article 203. https://doi.org/10.1007/jhep09%282023%29203

Supersymmetric localisation has led to several modern developments in the study of integrated correlators in N = 4 supersymmetric Yang-Mills (SYM) theory. In particular, exact results have been derived for certain integrated four-point functions of s... Read More about Exceptionally simple integrated correlators in N = 4 supersymmetric Yang-Mills theory.

Temperedness of L 2 (Γ\G) and positive eigenfunctions in higher rank (2023)
Journal Article
Edwards, S., & Oh, H. (2023). Temperedness of L 2 (Γ\G) and positive eigenfunctions in higher rank. Communications of the American Mathematical Society, 3, 744-778. https://doi.org/10.1090/cams/25

Let G = SO • (n, 1) × SO • (n, 1) and X = H n × H n for n ≥ 2. For a pair (π1, π2) of non-elementary convex cocompact representations of a finitely generated group Σ into SO • (n, 1), let Γ = (π1 × π2)(Σ). Denoting the bottom of the L 2-spectrum of t... Read More about Temperedness of L 2 (Γ\G) and positive eigenfunctions in higher rank.

Eruptivity Criteria for Solar Coronal Flux Ropes in Magnetohydrodynamic and Magnetofrictional Models (2023)
Journal Article
Rice, O. E. K., & Yeates, A. R. (2023). Eruptivity Criteria for Solar Coronal Flux Ropes in Magnetohydrodynamic and Magnetofrictional Models. Astrophysical Journal, 955(2), Article 114. https://doi.org/10.3847/1538-4357/acefc1

We investigate which scalar quantity or quantities can best predict the loss of equilibrium and subsequent eruption of magnetic flux ropes in the solar corona. Our models are initialized with a potential magnetic arcade, which is then evolved by mean... Read More about Eruptivity Criteria for Solar Coronal Flux Ropes in Magnetohydrodynamic and Magnetofrictional Models.

Improved Lieb-Thirring type inequalities for non-selfadjoint Schroedinger operators (2023)
Book Chapter
Boegli, S. (2023). Improved Lieb-Thirring type inequalities for non-selfadjoint Schroedinger operators. In M. Brown, F. Gesztesy, P. Kurasov, A. Laptev, B. Simon, G. Stolz, & I. Wood (Eds.), From Complex Analysis to Operator Theory: A Panorama In Memory of Sergey Naboko (151-161). (1). Birkhaeuser-Springer. https://doi.org/10.1007/978-3-031-31139-0_9

We improve the Lieb–Thirring type inequalities by Demuth, Hansmann and Katriel (J. Funct. Anal. 2009) for Schr¨odinger operators with complex-valued potentials. Our result involves a positive, integrable function. We show that in the one-dimensional... Read More about Improved Lieb-Thirring type inequalities for non-selfadjoint Schroedinger operators.